On Higher N-Derivation Of Prime Rings

Authors

Anwar K. Faraj
Abdulrahman H. Majeed

Abstract

The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring. We proved that: Let R be a prime ring of char. ≠ 2, U be a Jordan ideal of R and D=(d_t)i∈n be a higher N-derivation of R, then d_n(ur)= ∑ _i+j=n d_i(u) d_j (r), for all u ∈U, r∈R, n∈N.

Keywords

derivation, Jordan ideal, higher derivation, prime ring.

Article Type

Article

How to Cite this Article

Faraj, Anwar K. and Majeed, Abdulrahman H. (2014) "On Higher N-Derivation Of Prime Rings," Baghdad Science Journal: Vol. 11: Iss. 2, Article 4.
DOI: https://doi.org/10.21123/bsj.2014.11.2.211-219